DOAJ
Open Access
2014
The arithmetic Tutte polynomials of the classical root systems
Federico Ardila
Federico Castillo
Michael Henley
Abstrak
Many combinatorial and topological invariants of a hyperplane arrangement can be computed in terms of its Tutte polynomial. Similarly, many invariants of a hypertoric arrangement can be computed in terms of its <i>arithmetic</i> Tutte polynomial. We compute the arithmetic Tutte polynomials of the classical root systems $A_n, B_n, C_n$, and $D_n$ with respect to their integer, root, and weight lattices. We do it in two ways: by introducing a \emphfinite field method for arithmetic Tutte polynomials, and by enumerating signed graphs with respect to six parameters.
Topik & Kata Kunci
Penulis (3)
F
Federico Ardila
F
Federico Castillo
M
Michael Henley
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2014
- Sumber Database
- DOAJ
- DOI
- 10.46298/dmtcs.2447
- Akses
- Open Access ✓